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  <front>
    <journal-meta />
    <article-meta>
      <title-group>
        <article-title>Running with Recommendation</article-title>
      </title-group>
      <contrib-group>
        <contrib contrib-type="author">
          <string-name>Jakim Berndsen</string-name>
          <email>jakim.berndsen@insight-centre.org</email>
          <xref ref-type="aff" rid="aff0">0</xref>
        </contrib>
        <contrib contrib-type="author">
          <string-name>Aonghus Lawlor</string-name>
          <email>aonghus.lawlor@insight-centre.org</email>
          <xref ref-type="aff" rid="aff0">0</xref>
        </contrib>
        <contrib contrib-type="author">
          <string-name>Barry Smyth</string-name>
          <email>barry.smyth@insight-centre.org</email>
          <xref ref-type="aff" rid="aff0">0</xref>
        </contrib>
        <aff id="aff0">
          <label>0</label>
          <institution>Insight Centre for Data Analytics, University College Dublin</institution>
          ,
          <addr-line>Belfield, Dublin 4</addr-line>
        </aff>
      </contrib-group>
      <pub-date>
        <year>2017</year>
      </pub-date>
      <abstract>
        <p>We examine the feasibility of a collaborative recommender system in the exercise domain targeted specifically at runners. By using a large dataset of over 600000 runners' finish times we explore the contrasts between casual and elite runners and hypothesise how a recommender system may be used to mitigate some of these diferences. We also briefly discuss some of the challenges faced by such a recommendation task and suggest how these challenges could be addressed.</p>
      </abstract>
    </article-meta>
  </front>
  <body>
    <sec id="sec-1">
      <title>CCS CONCEPTS</title>
      <p>• Information systems → Recommender systems; •
Humancentered computing → Social recommendation;</p>
    </sec>
    <sec id="sec-2">
      <title>1 INTRODUCTION</title>
      <p>
        Running is one of the most popular forms of exercise on the planet.
In 2015 over 17 million race finishers were recorded in the United
States alone 1. The proliferation of online resources promoting
running shows the growing popularity of the sport and is a persuasive
demonstration of the participants’ interest in improving their
performance, and the desire to improve the performance over time,
while avoiding injury, is a key motivation for us to address as a
recommender system problem [
        <xref ref-type="bibr" rid="ref10">10</xref>
        ].
      </p>
      <p>Despite the popularity of running and the availability of
training resources, it remains a dificult pastime. Completing a race
is the end result of weeks or months of meticulous training and
planning. Selecting the best balance of hard work, recovery, and
diferent training types remains a concern that requires an in-depth
knowledge of running and human performance. While runners will
exhibit natural performance increases simply by starting to run
and by improving their fitness, it is extremely dificult to further
optimise performance without access to a coach or extensive time
investment in training methodologies. The availability of coaches
is limited and usually reserved for competitive athletes, rather than
those simply trying to improve themselves and maximise their
personal performance. There also exist many conflicting training
methodologies and thus despite extensive research an unsuitable
training programme may be selected by a runner.</p>
      <p>In an attempt to counteract these problems we propose a novel
collaborative recommender system. Our system is designed to
recommend training plans and race strategies to a runner and thus
alleviate the need for a coach and reduce the requirement for
extensive research to devise a personalised training plan best suited
to the runner. By mining the data on training plans of runners with
similar histories we can suggest a training plan to the user that
they can follow with little cognitive efort and that will allow them
to make significant gains over a period of time.</p>
      <p>In this paper, we show that elite runners progress faster than
casual runners and we surmise that this is due to the fact they have
access to coaches, research, and have a tendency to approach
training in a more strategic manner. Imparting the expertise that elite
runners have garnered to a casual runner through the use of a
recommender system will lead to casual runners exhibiting increased
rates of improvement, similar to that of the elite runner. We will also
highlight the suitability of a collaborative approach to
recommendation, outline the time scales involved in such recommendation
and briefly suggest some approaches towards recommendation of
material in this domain. While the work presented in this paper
focuses on the marathon distance, the results are generalisable across
diferent race distances, and as such running as a whole.
2</p>
    </sec>
    <sec id="sec-3">
      <title>RELATED WORK</title>
      <p>The use of machine learning for athletic performance is still in its
early phases. Much of the work previously undertaken in this field
has focused on the problem of prediction - the question of how fast
a runner would run a race given a previous race they have run at a
diferent distance.</p>
      <p>
        One of the earliest works in this regard was undertaken by
Peter Riegel [
        <xref ref-type="bibr" rid="ref9">9</xref>
        ] in 1981. Riegel examined world record times for
various activities, such as running and swimming, and found there
to be a linear relationship between the log of the time taken and
the log of the distance of the event. He thus fit an exponential
equation of the form t = axb to the world record times of diferent
running events, where t is the time taken, x is the distance and
a and b are constants. In this equation b can be considered the
slowdown coeficient, or fatigue factor, and was found to take a
value of 1.06 for running through the regression analysis. Riegel’s
formula proves to be very efective for predicting times for races
of distances shorter than the marathon and is also most efective
for the category of elite marathon runners. However, it struggles
to predict the times for casual runners in the marathon, especially
for times slower than 230 minutes (as can be seen in Figure 2). 230
minutes is significant as it is in events that take longer than this that
the linear relationship between log time and log distance no longer
holds due to the body switching to diferent energy systems. The
Riegel formula underestimates times drastically for the category
of slower runners, which can have a disastrous efect on their race
performance if these predictions are used to inform race tactics.
      </p>
      <p>Despite its limitations Riegel’s formula is the most commonly
used method for predicting race times today. It is the equation
used by many well known websites, most notably RunnersWorld
(www.runnersworld.com).</p>
      <p>
        A further regression analysis was performed by David Cameron
[
        <xref ref-type="bibr" rid="ref3">3</xref>
        ] in 1997. This study fit a regression through the 7 fastest times
in each event at the time. This regression ofers a slightly better fit
but sufers from the same problems as the Riegel formula. It also
sufers from an under prediction problem at times greater than 230
minutes. Due to the relative simplicity of the Riegel compared to the
Cameron Time Equivalence Model and their highly comparative
results the Riegel formula is often preferred to the Cameron model
by various running resources.
      </p>
      <p>
        A study [
        <xref ref-type="bibr" rid="ref14">14</xref>
        ] in conjunction with slate.com aimed to address
some of the inadequacies of these systems. A survey asked runners
to report their own race times with the aim of building a better
marathon predictor. The survey responses led to a dataset of 2164
usable responses. While again using linear regression analysis, the
model was able to utilise further information about a runner’s race
history. The feature set was comprised of the two previous races
run and the reported weekly training load of a runner. The results
show that such a model outperforms the Riegel model, especially for
more casual runners. However, the model still has limitations. The
dataset size is relatively small and thus it is dificult to utilise more
advanced machine learning techniques that require large amounts
of data. The prediction improvement seen by using a second race
suggests that additional information about a runner’s history is
beneficial in making predictions, yet is in itself limited as it does not
take account that a runner may have run many hundreds of races
previously. Despite these limitations, the decreases in prediction
error have seen this model adopted by many runner’s resource
websites, including RunnersWorld. The model’s results show the
promise of what data analysis and machine learning techniques
can achieve in this domain and that further strides are possible.
      </p>
      <p>
        Moving away from prediction into the field of recommendation,
Smyth [
        <xref ref-type="bibr" rid="ref12">12</xref>
        ][
        <xref ref-type="bibr" rid="ref13">13</xref>
        ] proposes a case-based recommendation system for
recommending a personal best marathon time. Using information
of a runner’s previous marathon history and a case base of other
runner’s times Smyth recommends not only a time that runner
should be capable of, but also a race plan to achieve the time taking
into account the dificulty and terrain of the course on which the
runner will compete. The recommendation made is important, as
it should be dificult enough to feel tested but not be so fast that
a runner ends up hitting the wall. By testing against the actual
personal best run by a runner the study found that the system was
able to predict the personal best time of a runner to within 5%
accuracy and generate race plans that are more than 90% similar
to the actual personal best split times run. These results show
that there is scope for making recommendations in the domain of
distance running.
3
3.1
      </p>
    </sec>
    <sec id="sec-4">
      <title>RECOMMENDATION</title>
    </sec>
    <sec id="sec-5">
      <title>Dataset</title>
      <p>
        As mentioned in the related work section the current methods
used for marathon prediction rely on data ranging from a single
race at each distance (i.e. the Riegel Model) to a few thousand self
reported race times. In contrast, we have built a dataset scraped
from various sources including race results tables and websites
allowing athletes to self declare race times. This dataset contains
over 600000 runners and their entire race histories. This is the first
dataset of this scale that has been collected and allows for the first
large scale data analysis and machine learning approach towards
making predictions for a marathon time. While we do not have
complete training histories for runners, which would give greater
resolution in a machine learning problem, we attempt to
approximate their training schedules by looking at the frequency of the
races of various non-marathon distances the athlete has run and
the improvements they make as they run them. Additional features,
such as age and gender, allow us to further distinguish between
runners in a way that has been neglected by many of the previous
prediction models mentioned in Section 2. These features,
particularly gender, have significant efects when it comes to distance
running [
        <xref ref-type="bibr" rid="ref1 ref5">1, 5</xref>
        ].
3.2
      </p>
    </sec>
    <sec id="sec-6">
      <title>Runner Improvement</title>
      <p>plateau in performance. This natural performance improvement
is a first indication of the potential benefits of a recommender
system. Most runners do not have access to advanced training
methods and lack the motivation or finances to employ a running
coach, yet they still exhibit significant improvement from one race
to the next. Finding suitable training plans requires a significant
amount of research as there are many diferent methodologies
runners have used in order to get results. A recommender system
designed to assist runners could act in the role of a professional
running coach and help personalise training plans based on data
mining the successful training approaches of similar runners. The
recommender system removes the time burden required to map out
an adequate training plan and helps the runner to improve at the
fastest rate.
3.3</p>
    </sec>
    <sec id="sec-7">
      <title>Suitability of Collaborative Filtering</title>
      <p>
        After creating a basic user profile for each runner comprising
average race finish times at various non-marathon distances, we trained
two diferent models to predict marathon times. These models were
a simple K-Nearest Neighbours (KNN) model [
        <xref ref-type="bibr" rid="ref6">6</xref>
        ] and an Extreme
Gradient Boosting (XGB) model [
        <xref ref-type="bibr" rid="ref4">4</xref>
        ]. The total percentage errors of
these models are 10.45% (KNN) and 9.04% (XGB), which compare
favourably to the error exhibited by the Riegel model of 12.8%.
      </p>
      <p>
        Figure 2 shows how these prediction errors change for athletes
with diferent race finish times. The Riegel model is indeed more
accurate than KNN or XGB for elite runners (finish times &lt; 190mins),
but the vast majority of runners have slower finish times than this.
For these slower runners, the KNN and XGB models outperform
the Riegel model. This suggests that the use of user profiles and
computing similarity between them is a good approach for
describing how a runner is likely perform. This provides some justification
that a collaborative filtering system would provide an adequate
basis for building a recommender system for runners. The success of
Smyth’s work [
        <xref ref-type="bibr" rid="ref12">12</xref>
        ] in recommending personal best times outlined
in Section 2 also appears to corroborate this finding.
      </p>
      <p>It could also be pointed out here that the simpler Riegel model
out-performs both the KNN and XGB models at various points in
the distribution. This is certainly the case for the quickest runners,
which is not surprising as the Riegel model is based on world record
times and we have little data at these points from which to build a
similarity model. Similarly, for the very slowest runners, we also
have a data sparsity issue. However, for the purposes of building
a running recommender this is not a problem. The elite runners,
with whom our model struggles, tend to be professional athletes
or passionate runners. These runners tend to be well coached and
well informed on their training and thus a recommender system is
expected to be of limited value to them. Runners at the very slowest
end of the spectrum tend to be one-of runners that are running
purely for fun and they are also unlikely to see any value in using
a recommender system.
3.4</p>
    </sec>
    <sec id="sec-8">
      <title>Benefits of Recommender System</title>
      <p>We make the reasonable claim that elite runners either have
access to coaching or are well-informed on training methods. As
a result, they produce faster times but there are other phenomena
that are a side efect of this optimised training. We define an elite
runner as one who has run the qualifying standard for the Boston
Marathon of 190 minutes, and then we compare the performance
progression over time of elite runners and more casual runners. The
Boston Marathon qualifying time was chosen as this is considered
a goal time for many keen marathon runners and is a time that
requires substantial training and efort to achieve. We also tell from
Figure 2 that it corresponds roughly to the finish time at which the
user based models begin outperforming the Riegel model which
makes it a natural cut of.</p>
      <p>In Figure 3 we show the point at which elite and casual runners
ifrst run their overall Personal Best (PB) time since running their
ifrst marathon. The elite runners clearly peak much earlier than
casual runners, with nearly 20% of elites achieving a PB in the
ifrst year after they start marathon running. In contrast, a higher
fraction of casual runners achieve PB’s than elite runners, after a
period of 5 years from their first marathon. In Figure 4 we show the
age at which the personal best is achieved. Again, there is a strong
diference between elite and casual runners, with elites much more
likely to achieve the PB before the age of 40. Elite runners not only
achieve their PB’s at a younger age but also at an earlier stage of
their running career. This finding afirms the notion that the extra
knowledge elite runners have over casual runners is a significant
advantage when it comes to making performance gains. It is clear
that a recommender system would be useful in this field - an
automated personalised training plan generated by a collaborative
recommender system would mitigate the need for a professional
coach or extensive knowledge of running training for a casual
runner. Such recommendations should lead to faster performance gains
from casual runners and would see casual runners maximise their
potential earlier.</p>
    </sec>
    <sec id="sec-9">
      <title>3.5 Methods of Recommendation</title>
      <p>It is important to note at this point that not even all elite runners
maximise their potential quickly. Many elite runners will not run
their personal best until up to five years after their first marathon.
This demonstrates the potential time scale involved in such a
recommender system with improvements not being apparent for months
or even years after the first interaction with the system.</p>
      <p>Such a recommendation system poses a unique challenge. How
does a recommender system motivate a runner to keep using a
system for a period of years, especially when the benefits of use
may not be instant? Training for a marathon is dificult and a
recommender may recommend a training session that, while clearly
beneficial, may not lead to enjoyment or satisfaction for the user.
The recommendation system must therefore keep a user engaged
for long periods and convince them to make potentially unwanted
decisions in order for them to see benefit.</p>
      <p>
        An important factor in achieving this goal is to provide the user
with meaningful explanations. The ability of a system to make its
reasoning transparent contributes significantly to the users
acceptance of the recommendation [
        <xref ref-type="bibr" rid="ref2">2</xref>
        ] and improves their confidence
in the recommendation [
        <xref ref-type="bibr" rid="ref11">11</xref>
        ]. Various training methodologies are
already well documented and explained. The concept of nudging
[
        <xref ref-type="bibr" rid="ref8">8</xref>
        ], to slowly adjust the user’s behaviour, has been shown to be very
useful in recommender systems. The use of personalised
explanations can motivate a user to interact with the system and spur them
on to do the sessions the system recommends. As demonstrated
in Section 3.3 the system is capable of making predictions of the
runner’s finish time. As the recommender system nudges the user
to a particular training strategy, accurate predictions of finish times
and outcomes can be presented to the user to improve their
motivation and engagement with the system. For runners to gain the
maximum benefit from such a system it must be persuasive, easy to
follow, and provide motivation so the recommender is engaging for
long enough to have an efect on a runner’s training and change
their behaviour [
        <xref ref-type="bibr" rid="ref7">7</xref>
        ].
      </p>
    </sec>
    <sec id="sec-10">
      <title>4 CONCLUSION</title>
      <p>In this paper we have examined the opportunity for a recommender
system for runners. Elite runners improve at a faster rate through
knowledge gained from coaching and research. This knowledge
can be imparted to casual runners through the use of a
recommender system, leading to greater levels of improvement for such
runners. We have gathered an adequately large database of
runners and race times and through this have shown that marathon
times can be predicted by simple neighbourhood models. The better
prediction accuracy of these models highlights the feasibility of a
collaborative filtering approach to such recommendation. Lastly,
we highlighted some of the issues with such a recommender system,
namely the time scale involved. We suggested methods as to how
such recommendation could be presented to runners in order to
keep them suficiently motivated and allow adequate time for this
recommendation to take efect.</p>
      <p>In future we will implement such a recommender system. We
expect that the results found will be generalisable to other endurance
sports and as such we look to expand our research into activities
such as swimming and cycling. The proliferation of wearable
technology, such as heart rate monitors and GPS units, provides large
quantities of data from training events and races. Such data will
provide greater resolution for a machine learning approach and we
will use such an approach to build a recommender system that can
inform a user before, during, and after a training session or race.</p>
    </sec>
    <sec id="sec-11">
      <title>ACKNOWLEDGMENTS</title>
      <p>This work is supported by Science Foundation Ireland through the
Insight Centre for Data Analytics under grant number SFI/12/RC/2289</p>
    </sec>
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